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Convergence vague et decomposition de Riesz dans des groupes non localement compacts

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Séminaire de Théorie du Potentiel Paris, No. 6

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Bibliographie

  1. C. BERG and G. FORST: Potential Theory on Locally Compact Abelian Groups. Springer-Verlag (1975).

    Google Scholar 

  2. N. BOURBAKI: Topologie générale. Hermann

    Google Scholar 

  3. N. BOURBAKI: Espaces vectoriels topologiques. Hermann.

    Google Scholar 

  4. N. BOURBAKI: Intégration. Hermann.

    Google Scholar 

  5. R. CARMONA: Potentials on Abstract Wiener Space. J. Funct. Analysis 26 (1977) 215–231.

    Article  MathSciNet  MATH  Google Scholar 

  6. R. CARMONA: Measurable Norms and Some Banach Space Valued Gaussian Processes. Duke Math. J. 44 (1977) 109–127.

    Article  MathSciNet  MATH  Google Scholar 

  7. R. CARMONA: Infinite Dimensional Newtonian Potentials. Proc. Conf. “Probability Theory on Vector Spaces II” Wroclaw, Poland, Sept. 1979. Lect. Notes in Math. #828 p. 30–43.

    Google Scholar 

  8. G. CHOQUET et J. DENY: Sur l’équation de convolution μ=μ*σ C.R. Acad. Sci. Paris 250 (1960) 799–801.

    MathSciNet  MATH  Google Scholar 

  9. J. DENY: Noyaux de convolution de Hunt et noyaux associés à une famille fondamentale. Ann. Inst. Fourier 12 (1962) 643–667.

    Article  MathSciNet  MATH  Google Scholar 

  10. J. FELDMAN: Non-existence of quasi-invariant measures on infinite dimensional linear spaces. Proc. Amer. Math. Soc. 17 (1966) 142–146.

    Article  MathSciNet  MATH  Google Scholar 

  11. V. GOODMAN: A Liouville theorem for abstract Wiener spaces. Amer. J. Math. 95 (1973) 215–220.

    Article  MathSciNet  MATH  Google Scholar 

  12. L. GROSS: Potential Theory on Hilbert Space. J. Funct. Analysis 1 (1967) 123–181.

    Article  MathSciNet  MATH  Google Scholar 

  13. J. KIEFER: Skorohod Embedding of Multivariate R.V.’s and Sample D.F. Z. Wahrscheinlichkeitsthéorie verw. Gebiete 24 (1972) 1–35.

    Article  MATH  Google Scholar 

  14. H.H. KUO: Potential theory associated with Ornstein-Uhlenbeck process. J. Funct. Analysis, 21 (1976) 63–75.

    Article  MATH  Google Scholar 

  15. L. LE CAM: Convergence in distribution of stochastic processes. Univ. of Calif. Publ. in Stat. vol. 2, no 11 (1957) 207–236.

    MathSciNet  Google Scholar 

  16. P.A. MEYER: Le schéma de remplissage en temps continu d’après H. Rost. Sém. Proba. VI. 1970–71. Lect. Notes in Math. #256 p. 130–150.

    Google Scholar 

  17. P.A. MEYER: Notes sur le processus d’Ornstein-Uhlenbeck. Sem. Proba. 1980–81 Lect. Notes in Math. (à paraître).

    Google Scholar 

  18. K.R. PARTHASARATHY: Probability Measures on Metric Spaces. Academic Press (1967)

    Google Scholar 

  19. M.A. PIECH: Regularity of the Green operator on abstract Wiener Space. J. Diff. Equat. 12 (1972) 353–360.

    Article  MathSciNet  MATH  Google Scholar 

  20. M.A. PIECH: The Ornstein-Uhlenbeck semi-group in an infinite dimensional L2-setting. J. Funct. Analysis 18 (1975) 271–285.

    Article  MathSciNet  MATH  Google Scholar 

  21. H. ROST: Markoff-Ketten bei sich füllenden Löchern in Zustandraum. Ann. Int. Fourier 21 (1971) 253–270.

    Article  MathSciNet  MATH  Google Scholar 

  22. L. SCHWARTZ: Surmartingales régulières à valeurs mesures et désintégrations régulières d’une mesure. J. d’Analyse (1973) 1–168.

    Google Scholar 

  23. V.S. Varadarajan: Measures on topological spaces. Amer. Math. Soc. Transl. ser. 2, no 48 p. 161–228.

    Google Scholar 

  24. J.B. WALSH: A stochastic model of neural response. Adv. Appl. Prob. 13 (1981) 231–281.

    Article  MathSciNet  MATH  Google Scholar 

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Francis Hirsch Gabriel Mokobodzki

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© 1982 Springer-Verlag

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Berruyer, J., Carmona, R. (1982). Convergence vague et decomposition de Riesz dans des groupes non localement compacts. In: Hirsch, F., Mokobodzki, G. (eds) Séminaire de Théorie du Potentiel Paris, No. 6. Lecture Notes in Mathematics, vol 906. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093260

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  • DOI: https://doi.org/10.1007/BFb0093260

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